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Finding the Third Proportional to 157,644 and 186,804

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Solution

The third proportional to 157,644 and 186,804 is: 221,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644 : 186,804 = 186,804 : x
  2. Step 2: Convert to fraction form
    157,644/186,804 = 186,804/x
  3. Step 3: Cross multiply
    157,644x = 186,804 × 186,804
  4. Step 4: Simplify right side
    157,644x = 34,895,734,416
  5. Step 5: Solve for x
    x = 34,895,734,416/157,644
  6. Step 6: Final answer
    x = 221,357.83

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.